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Finding the Fourth Proportional to 3,692.82, 5,541.21 and 2,460.90

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Solution

The fourth proportional to 3,692.82, 5,541.21 and 2,460.90 is: 3,692.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.82 : 5,541.21 = 2,460.90 : x
  2. Step 2: Convert to fraction form
    3,692.82/5,541.21 = 2,460.90/x
  3. Step 3: Cross multiply
    3,692.82x = 5,541.21 × 2,460.90
  4. Step 4: Simplify right side
    3,692.82x = 13,636,363.69
  5. Step 5: Solve for x
    x = 13,636,363.69/3,692.82
  6. Step 6: Final answer
    x = 3,692.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.